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首页 / 脚本样式 / JavaScript / JavaScript实现穷举排列(permutation)算法谜题解答

谜题

穷举一个数组中各个元素的排列

策略

减而治之、递归

JavaScript解

复制代码 代码如下:
/**
 * Created by cshao on 12/23/14.
 */
function getPermutation(arr) {
  if (arr.length == 1) {
    return [arr];
  }
  var permutation = [];
  for (var i=0; i<arr.length; i++) {
    var firstEle = arr[i];
    var arrClone = arr.slice(0);
    arrClone.splice(i, 1);
    var childPermutation = getPermutation(arrClone);
    for (var j=0; j<childPermutation.length; j++) {
      childPermutation[j].unshift(firstEle);
    }
    permutation = permutation.concat(childPermutation);
  }
  return permutation;
}
var permutation = getPermutation(["a","b","c"]);
console.dir(permutation);


结果

复制代码 代码如下:
[ [ "a", "b", "c" ],
  [ "a", "c", "b" ],
  [ "b", "a", "c" ],
  [ "b", "c", "a" ],
  [ "c", "a", "b" ],
  [ "c", "b", "a" ] ]